# Properties

 Label 2.12 Level 2 Weight 12 Dimension 0 Nonzero newspaces 0 Newforms 0 Sturm bound 3

## Defining parameters

 Level: $$N$$ = $$2$$ Weight: $$k$$ = $$12$$ Nonzero newspaces: $$0$$ Newforms: $$0$$ Sturm bound: $$3$$

## Dimensions

The following table gives the dimensions of various subspaces of $$M_{12}(\Gamma_1(2))$$.

Total New Old
Modular forms 4 0 4
Cusp forms 2 0 2
Eisenstein series 2 0 2

## Decomposition of $$S_{12}^{\mathrm{old}}(\Gamma_1(2))$$ into lower level spaces

$$S_{12}^{\mathrm{old}}(\Gamma_1(2)) \cong$$ $$S_{12}^{\mathrm{new}}(\Gamma_1(1))$$$$^{\oplus 2}$$